resolve into partial fraction, 11x + 3/(x-3)(x^2+9)

asked by guest
on Jan 17, 2025 at 12:28 pm



You asked:

Compute the partial fraction decomposition of 11x+3(x3)(x2+9)11 x + \frac{3}{\left(x - 3\right) \left({x}^{2} + 9\right)}.

MathBot Answer:

The rational function 11x+3(x2+9)(x3)11 x + \frac{3}{\left(x^{2} + 9\right) \left(x - 3\right)} decomposes into the partial fraction decomposition 11x+x612x2+9+16(x3)11 x + \frac{- \frac{x}{6} - \frac{1}{2}}{x^{2} + 9} + \frac{1}{6 \left(x - 3\right)}